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Finding the Fourth Proportional to 647.75, 893.85 and 353.02

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Solution

The fourth proportional to 647.75, 893.85 and 353.02 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.75 : 893.85 = 353.02 : x
  2. Step 2: Convert to fraction form
    647.75/893.85 = 353.02/x
  3. Step 3: Cross multiply
    647.75x = 893.85 × 353.02
  4. Step 4: Simplify right side
    647.75x = 315,546.93
  5. Step 5: Solve for x
    x = 315,546.93/647.75
  6. Step 6: Final answer
    x = 487.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.